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Finding the Third Proportional to 975,108 and 1,557,126

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Solution

The third proportional to 975,108 and 1,557,126 is: 2,486,536.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,108 : 1,557,126 = 1,557,126 : x
  2. Step 2: Convert to fraction form
    975,108/1,557,126 = 1,557,126/x
  3. Step 3: Cross multiply
    975,108x = 1,557,126 × 1,557,126
  4. Step 4: Simplify right side
    975,108x = 2,424,641,379,876
  5. Step 5: Solve for x
    x = 2,424,641,379,876/975,108
  6. Step 6: Final answer
    x = 2,486,536.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.